Expand and simplify5(2a)-7+3a

Thus, the ratio of the area of larger triangle to the area of smaller triangle

is found as 5:1.

An instrument for comparing the sizes of two or more quantities in proportion to one another is called a ratio. A list of the structured equivalent ratios of every given ratio is called a ratio table. By multiplying as well as dividing the 2 terms of such a ratio by an identical number, equivalent ratios can be created.

Given data:

Area of triangle = 1/2* base * height

Ratios:

area of larger triangle / area of smaller triangle = (1/2*B*H) / (1/2*b*h)

area of larger triangle / area of smaller triangle = B*H / b*h

area of larger triangle / area of smaller triangle = 10*5 / 5*2

area of larger triangle / area of smaller triangle = 50 / 10

area of larger triangle / area of smaller triangle = 5/ 1 = 5:1

Thus, the ratio of the area of larger triangle to the area of smaller triangle

is found as 5:1.

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Complete question:

what is the ratio of the area of larger triangle to the area of smaller triangle ? express your answer as a common fraction.

Dimension of  larger triangle: base B = 10 cm, Height H = 5 cm.

Dimension of  smaller triangle : base b = 5 cm, Height H = 2 cm.

Answer:

-2 and -3

Step-by-step explanation:

Answer:

answer in picture

Step-by-step explanation:

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

Therefore

TheThe positive even numbers less than 10 are 2, 4, 6, and 8, providing multiple solutions to the problem as there are multiple even numbers within the given range.

To find all the positive even numbers less than 10, we consider numbers that are divisible by 2 and greater than zero. Starting from 2, the smallest positive even number, we increment by 2 until we reach a number less than 10.

By following this process, we find the positive even numbers 2, 4, 6, and 8. These numbers satisfy the conditions of being even (divisible by 2) and less than 10. Therefore, the list of positive even numbers less than 10 is 2, 4, 6, and 8. These numbers provide multiple solutions to the problem, as there are multiple positive even numbers within the given range.

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Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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The given number 314,609 is rounded to:

The nearest hundred thousand: 300,000

The nearest ten thousand: 310,000

The nearest thousand: 315,000

To round the place values of a number to the nearest place values following rules are considered:

The given number is 314,609

The number name for 314,609 is " Three hundred and fourteen thousand, six hundred and nine "

The order of the places is Hth(Hundred thousand), Tth(Ten thousand), Th(Thousands), H(Hundreds), T(Tens), O(Ones)

Rounding to the nearest hundred thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the hundreds of thousands place is "3". The digit next/after this place is "1" in ten thousand's place. Since 1 < 5, the digits after 3 are rounded as zeros. I.e., 300,000.

Thus, the nearest hundred thousand for the given number is 300,000.

Rounding to the nearest ten thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the ten thousand places is "1". The digit after this place is "4" in the thousands place. Since 4 < 5, the digits after 1 are rounded as zeros. I.e., 310,000.

Thus, the nearest ten thousand for the given number is 310,000.

Rounding to the nearest thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the thousand's place is "4". The digit after this place is "6" in the hundreds place. Since 6 > 5, the digit in the thousands place is added by 1, and the digits after it are made as zeros. I.e., 4 + 1 = 5 and the rounded number is 315,000.

Thus, the nearest thousand for the given number is 315,000.

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Answer:

below

Step-by-step explanation:

Part A)

The radius of a circle is half of its diameter.

Therefore, the radius of the circle is:

radius = diameter/2 = 8cm/2 = 4cm

So, the radius of the circle is 4cm.

You can also find radius by just dividing the diameter in half, or by 2.

Part B)

The area of a circle can be found using the formula:

Area = πr^2

where π is the mathematical constant pi (approximated as 3.14), and r is the radius of the circle.

Substituting the values given in the question, we get:

Area = πr^2

= 3.14 × (4cm)^2

= 3.14 × 16cm^2

Therefore, the area of the circle is:Area = 50.24cm^2 (rounded to two decimal places)

So, the area of the circle with a diameter of 8cm is 50.24cm^2.

a.)

b.)

so for a ride of 2 miles the cost will be the same for both companies

c.)for a ride of 10 miles we get that the cost for each company is

So Madeline's is cheaper

Answer:

19

Step-by-step explanation:

200−181 = 19

There are 19 whole numbers between 181 and 200.

We can see that this is an isosceles triangle, since both sides have the same length. Then the both angles that are unknown need to be the same. So we have

So x = 50 °.

To solve the expression \(\(x^{13} \cdot y^{6^{-2}}\),\) we need to simplify the exponentiation first.

Recall that when we raise a power to another power, we multiply the exponents. So, \(\(y^{6^{-2}}\)\) can be rewritten as \(\(y^{6 \cdot -2}\).\)

The expression now becomes \(\(x^{13} \cdot y^{6 \cdot -2}\).\)

Next, we simplify the exponent \(\(6 \cdot -2\)\) which equals -12.

The expression further simplifies to \(\(x^{13} \cdot y^{-12}\).\)

Using the rule for multiplying exponents, where \(\(x^m \cdot x^n = x^{m+n}\),\) we can combine the terms:

\(\(x^{13} \cdot y^{-12} = x^{13} \cdot \frac{1}{y^{12}}\).\)

This can be written as \(\(\frac{x^{13}}{y^{12}}\).\)

Therefore, the simplified expression is \(\(\frac{x^{13}}{y^{12}}\).\)

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The smallest number of rectangles required will be  30.

Given:- The sides of the rectangle are in the ratio of 5:4

let, length=5x

breadth=4x

Area = 20x²

Area of smaller rectangle =2*3

                                           =6cm²

Now, take numbers which are in the ratio of 5:4;

suppose, Case 1=10:8

                 Case2 = 15:12

For Case 1;

number of rectangles needed =10*8/2*3

                                                     =13.3333

This means it is overlapping hence, not possible.

For Case 2;

number of rectangles needed=15*12/2*3

                                                  =30

therefore, the smallest number will be 30.

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Ndidi rides y km at 10 km/hr, then walks 0.5y km at 3 km/hr. She is away from. home less than 4hours.Range of the values of Y is =24/7

Let's call the total time spent riding and walking t hours. We know that t is less than 4 hours, so:

t = time spent riding + time spent walking < 4 hours

The time spent riding is given by y / 10 km/hr and the time spent walking is given by 0.5y / 3 km/hr. So, we can write the inequality as:

t = y / 10 + 0.5y / 3 < 4

Expanding and simplifying the expression on the left side gives:

7/6y < 4 * 6/7

Multiplying both sides by 6/7 gives:

y < 4 * 6/7 * 6/7 = 24/7

So, the range of values of y is 0 < y < 24/7 km. This means that Ndidi rode less than 24/7 km, but more than 0 km.

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Answer:

answer 26

ok now help me

The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9

from the question, we have the following parameters that can be used in our computation:

XY = 9 cm

Also, we have the right triangle

The acute angle in the triangle is 45 degrees

This means that

XY = YZ = 9

It also means that

XZ = XY√2

So, we have

XZ = 9√2

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Thus, the probability that the focus group will have two males and two females is 0.3.

To determine the total number of possible ways to select four members from a department of 10. This is known as the sample space and is calculated using the combination formula, which is:
n C r = n! / r! (n - r)!

where n is the total number of individuals (in this case, 10) and r is the number of individuals being selected (in this case, 4).

So, the sample space for selecting four members from a department of 10 is:
10 C 4 = 10! / 4! (10 - 4)! = 210

Next, we need to determine the number of ways to select two males and two females from a department with 7 males and 3 females.

This is calculated using the multiplication principle, which states that the total number of ways to perform a sequence of events is equal to the product of the number of ways to perform each individual event.

So, the number of ways to select two males and two females from a department with 7 males and 3 females is:
(7 C 2) x (3 C 2) = 21 x 3 = 63

Finally, we can calculate the probability of selecting a focus group with two males and two females by dividing the number of ways to select two males and two females by the total number of possible ways to select four members:
63 / 210 = 0.3

Therefore, the probability that the focus group will have two males and two females is 0.3. The answer is d.

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Answer:

4

Step-by-step explanation:

3ft in a yard. 4 feet x 3 capes is 12 so you need 12 feet. 12 feet divided by 3 yards is 4. (hope this makes sense!)

Answer:

90km/h

Step-by-step explanation:

speed =distance / time

distace = 6

time = because we have hours we have to convert the minute into an hour so

4/60 so that woul be: 0.06666666666

and 0.06666666666 times 6 is 90

i hope that helps

Answer:

\(20x^{2} -2x\)

Step-by-step explanation:

Multiply using the distributive property.

Answer:20x-2x is the answer..

Mark brainliest

Plzzz follow hope u like it

The value of f(5) is 47.

What is face value?

Face value is the amount that any security issuer declared when it was first issued in dollars. The core idea behind the stock market is the nominal value.

If publicly traded companies use IPOs to sell stocks, this price stays constant. For instance, the place value of 5 in 5432 is 5000 while its face value is 5.

Solution Explained:

Given, f(1) = 1 and f(n) = -3f(n-1) + n

First we find,

f(2) = -3f(2-1) + 2 = -3f(1) + 2 = -1

f(3) = -3f(3-1) + 3 = -3f(2) + 3 = 6

f(4) = -3f(4-1) + 4 = -3f(3) + 4 = - 14

Now, we calculate f(5)

f(5) = -3f(5-1) + 5 = -3f(4) + 5 = 47

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Answer:

207.24 inch^2

Step-by-step explanation:

A=2*3.14*9+2.3.14*3*8

=56.52+150.72

=207.24 square inches

Simplification form of the expression is -1.5x² after  plugging the values of a and b in the expression a²b

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

If a=-x and b=-1-5, then find the value of the a²b

Plug the values of a and b in the expression a²b

= (-x)²(-1.5)

= -1.5x²

Thus, simplification form of the expression is -1.5x² after  plugging the values of a and b in the expression a²b

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The graph of the linear equation is on the image at the end.

Here we want to find the graph of the line with a slope of-3 that passes through (3, - 2)

Because the slope is -3, then we can write the linear equation like:

y = -3x + b

To find the value of b, the y-intercept, we can replace the values of the given point in the equation, then we will get:

-2 = -3*3 + b

-3 = -9 + b

-3 +9 = b

6 = b

Then the linear equation is:

y = -3x + 6

To graph the line we need at least two points, we already know (3, -2), evaluating in x = 0 we will get:

y = -3*0 + 6

y = 6

So we also have the point (0, 6).

Now just graph these two points and connect them with a line, the graph is below.

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The mistake that Shawn made in his definition of a reflection is that D. Shawn didn't make a mistake.

It should be noted that reflection simply means ten transformation of the shape of an object.

In this case, for any point R on the line of reflection L, the image R’ is at the same point as R. Furthermore, for any point P not on the line of reflection L, the image P’ is on the other side of L such that P and P’ are the same distance from L.

Therefore, Shawn is right as no mistake was made.

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Answer:

PP' must be perpendicular to the line of reflection. Whatever the distance is between P and L, there are infinitely many points on the other side of L that are the same distance from L.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The correct set of hypotheses for testing the effect of the bonus plan is:

To test the effect of the new bonus plan on increasing sales at the automobile dealership, the manager can use the following set of hypotheses:

Null Hypothesis: The mean sales rate per salesperson remains the same or less than five automobiles per month (H0: μ ≤ 5)

Alternative Hypothesis: The mean sales rate per salesperson increases with the implementation of the bonus plan (HA: μ > 5)

These hypotheses will help determine if the bonus plan has a significant impact on increasing sales.

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The Median and IQR are most appropriate to describe the measures of center and variability of distribution. The histogram depicts the distribution of time is positively skewed. So, option(b) is right one.

We have a graph present in above figure, which showes the amount of time in hours spent on homework per week for a sample of students. We have to select correct measures of center and variability. The graph is a histogram. From the graph we can see that the data is positively skewed. Now for skewed distribution we prefer median over mean as mean is more sensitive to the outliers. As the data(time) is in ratio scale we can use any of the measures of dispersion; but for skewed distribution IQR is preferred because of its robustness. In a word both median and IQR can handle outliers. Thus the appropriate answer is Median and IQR, option (c).

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Complete question :

The above figure complete the question

the graph below displays the amount of time to the nearest hour spent on homework per week for a sample of students. which measures of center and variability would be most appropriate to describe the given distribution? group of answer choices

a) mean and standard deviation

b) mean and iqr

c) median and standard deviation

d) median and iqr

e) median and range

Answer:

Option B

Step-by-step explanation:

Vertical angles are a pair of angles which have the following characteristics:

(i) Equal in measurement

(ii) Located on opposite sides of two intersecting straight lines

AND

(iii) Have the same vertex

Vertical angles in this figure:
∠ERT and ∠MRC

∠KRC and ∠ERH

∠KRE and ∠CRH